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# Quantum Mechanics Of Non Hamiltonian And Dissipative Systems

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**📒Quantum Mechanics Of Non Hamiltonian And Dissipative Systems ✍ Vasily Tarasov**

**Quantum Mechanics of Non Hamiltonian and Dissipative Systems**

✏Author :

**Vasily Tarasov**

✏Publisher :

**Elsevier**

✏Release Date :

**2008-06-06**

✏Pages :

**530**

✏ISBN :

**0080559719**

✏Available Language :

**English, Spanish, And French**

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**✏Quantum Mechanics of Non Hamiltonian and Dissipative Systems Book Summary :** Quantum Mechanics of Non-Hamiltonian and Dissipative Systems is self-contained and can be used by students without a previous course in modern mathematics and physics. The book describes the modern structure of the theory, and covers the fundamental results of last 15 years. The book has been recommended by Russian Ministry of Education as the textbook for graduate students and has been used for graduate student lectures from 1998 to 2006. • Requires no preliminary knowledge of graduate and advanced mathematics • Discusses the fundamental results of last 15 years in this theory • Suitable for courses for undergraduate students as well as graduate students and specialists in physics mathematics and other sciences

**📒Classical And Quantum Dissipative Systems Second Edition ✍ Razavy Mohsen**

**Classical And Quantum Dissipative Systems Second Edition**

✏Author :

**Razavy Mohsen**

✏Publisher :

**World Scientific**

✏Release Date :

**2017-02-27**

✏Pages :

**592**

✏ISBN :

**9789813207936**

✏Available Language :

**English, Spanish, And French**

**Click Here To Get Book**

**✏Classical And Quantum Dissipative Systems Second Edition Book Summary :** Dissipative forces play an important role in problems of classical as well as quantum mechanics. Since these forces are not among the basic forces of nature, it is essential to consider whether they should be treated as phenomenological interactions used in the equations of motion, or they should be derived from other conservative forces. In this book we discuss both approaches in detail starting with the Stoke's law of motion in a viscous fluid and ending with a rather detailed review of the recent attempts to understand the nature of the drag forces originating from the motion of a plane or a sphere in vacuum caused by the variations in the zero-point energy. In the classical formulation, mathematical techniques for construction of Lagrangian and Hamiltonian for the variational formulation of non-conservative systems are discussed at length. Various physical systems of interest including the problem of radiating electron, theory of natural line width, spin-boson problem, scattering and trapping of heavy ions and optical potential models of nuclear reactions are considered and solved.

**📒Applications In Physics ✍ Vasily E. Tarasov**

**Applications in Physics**

✏Author :

**Vasily E. Tarasov**

✏Publisher :

**Walter de Gruyter GmbH & Co KG**

✏Release Date :

**2019-02-19**

✏Pages :

**327**

✏ISBN :

**9783110571721**

✏Available Language :

**English, Spanish, And French**

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**✏Applications in Physics Book Summary :** This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This fifth volume collects authoritative chapters covering several applications of fractional calculus in physics, including electrodynamics, statistical physics and physical kinetics, and quantum theory.

**📒Symmetries In Science X ✍ Bruno Gruber**

**Symmetries in Science X**

✏Author :

**Bruno Gruber**

✏Publisher :

**Springer Science & Business Media**

✏Release Date :

**2013-06-29**

✏Pages :

**454**

✏ISBN :

**9781489915375**

✏Available Language :

**English, Spanish, And French**

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**✏Symmetries in Science X Book Summary :** Proceedings an International Symposium held in Bregenz, Austria, July 13-18, 1997

**Lagrangian and Hamiltonian Methods for Nonlinear Control 2003**

✏Author :

**A Astolfi**

✏Publisher :

**Elsevier**

✏Release Date :

**2003-10-21**

✏Pages :

**305**

✏ISBN :

**0080442781**

✏Available Language :

**English, Spanish, And French**

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**✏Lagrangian and Hamiltonian Methods for Nonlinear Control 2003 Book Summary :** This is the second of a series of IFAC Workshops initiated in 2000. The first one chaired and organized by Profs. N. Leonard and R. Ortega, was held in Princeton in March 2000. This proceedings volume looks at the role-played by Lagrangian and Hamiltonian methods in disciplines such as classical mechanics, quantum mechanics, fluid dynamics, electrodynamics, celestial mechanics and how such methods can be practically applied in the control community. *Presents and illustrates new approaches to nonlinear control that exploit the Lagrangian and Hamiltonian structure of the system to be controlled *Highlights the important role of Lagrangian and Hamiltonian Structures as design methods

**Physics letters part A**

✏Author :

✏Publisher :

✏Release Date :

**2001**

✏Pages :

✏ISBN :

**UCAL:B4483790**

✏Available Language :

**English, Spanish, And French**

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**✏Physics letters part A Book Summary :**

**📒Quantum Dissipative Systems ✍ Ulrich Weiss**

**Quantum Dissipative Systems**

✏Author :

**Ulrich Weiss**

✏Publisher :

**World Scientific**

✏Release Date :

**1999**

✏Pages :

**448**

✏ISBN :

**9810240929**

✏Available Language :

**English, Spanish, And French**

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**✏Quantum Dissipative Systems Book Summary :** Recent advances in the quantum theory of macroscopic systems have brightened up the field and brought it into the focus of a general community in natural sciences. The fundamental concepts, methods and applications including the most recent developments, previously covered for the most part only in the original literature, are presented here in a comprehensive treatment to an audience who is reasonably familiar with quantum-statistical mechanics and has had rudimentary contacts with the path integral formulation. This book deals with the phenomena and theory of decoherence and dissipation in quantum mechanics that arise from the interaction with the environment. A general path integral description of equilibrium thermodynamics and non-equilibrium dynamics is developed. The approach can deal with weak and strong dissipation, and with all kinds of memory effects. Applications to numerous phenomenological and microscopic systems are presented, where emphasis is put on condensed matter and chemical physics. The basic principles and methods of preparation functions, propagating functions, and time correlation functions are described. Special attention is focused on quantum tunneling and quantum coherence phenomena of macroscopic variables. Many illustrative realistic examples are discussed in some detail. The book attempts to provide a broad perspective and to open up this rapidly developing field to interested researchers normally working in different fields. In this enlarged second edition, the nineteen chapters of the first edition have been expanded by about one-third to better meet both the requests of newcomers to the field and of advanced readers, and seven new chapters have beenadded that review the most recent important developments.

**📒Universal Concept Of Complexity By The Dynamic Redundance Paradigm ✍ Andrei P. Kirilyuk**

**Universal Concept of Complexity by the Dynamic Redundance Paradigm**

✏Author :

**Andrei P. Kirilyuk**

✏Publisher :

✏Release Date :

**1997**

✏Pages :

**548**

✏ISBN :

**9660001169**

✏Available Language :

**English, Spanish, And French**

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**✏Universal Concept of Complexity by the Dynamic Redundance Paradigm Book Summary :**

**Physics Uspekhi**

✏Author :

✏Publisher :

✏Release Date :

**2003**

✏Pages :

✏ISBN :

**CHI:62496077**

✏Available Language :

**English, Spanish, And French**

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**✏Physics Uspekhi Book Summary :**

**📒Fractional Dynamics ✍ Vasily E. Tarasov**

**Fractional Dynamics**

✏Author :

**Vasily E. Tarasov**

✏Publisher :

**Springer Science & Business Media**

✏Release Date :

**2011-01-04**

✏Pages :

**505**

✏ISBN :

**9783642140037**

✏Available Language :

**English, Spanish, And French**

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**✏Fractional Dynamics Book Summary :** "Fractional Dynamics: Applications of Fractional Calculus to Dynamics of Particles, Fields and Media" presents applications of fractional calculus, integral and differential equations of non-integer orders in describing systems with long-time memory, non-local spatial and fractal properties. Mathematical models of fractal media and distributions, generalized dynamical systems and discrete maps, non-local statistical mechanics and kinetics, dynamics of open quantum systems, the hydrodynamics and electrodynamics of complex media with non-local properties and memory are considered. This book is intended to meet the needs of scientists and graduate students in physics, mechanics and applied mathematics who are interested in electrodynamics, statistical and condensed matter physics, quantum dynamics, complex media theories and kinetics, discrete maps and lattice models, and nonlinear dynamics and chaos. Dr. Vasily E. Tarasov is a Senior Research Associate at Nuclear Physics Institute of Moscow State University and an Associate Professor at Applied Mathematics and Physics Department of Moscow Aviation Institute.

**📒Advances In Chemical Physics ✍ Ilya Prigogine**

**Advances in Chemical Physics**

✏Author :

**Ilya Prigogine**

✏Publisher :

✏Release Date :

**1958**

✏Pages :

✏ISBN :

**UVA:X030002910**

✏Available Language :

**English, Spanish, And French**

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**✏Advances in Chemical Physics Book Summary :**

**📒One Dimensional Open Schr Dinger Poisson Systems ✍ Michael Baro**

**One dimensional Open Schr dinger Poisson Systems**

✏Author :

**Michael Baro**

✏Publisher :

**Cuvillier Verlag**

✏Release Date :

**2005**

✏Pages :

**149**

✏ISBN :

**9783865377203**

✏Available Language :

**English, Spanish, And French**

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**✏One dimensional Open Schr dinger Poisson Systems Book Summary :**

**📒Quantum Theory From A Nonlinear Perspective ✍ Dieter Schuch**

**Quantum Theory from a Nonlinear Perspective**

✏Author :

**Dieter Schuch**

✏Publisher :

**Springer**

✏Release Date :

**2018-01-20**

✏Pages :

**258**

✏ISBN :

**9783319655949**

✏Available Language :

**English, Spanish, And French**

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**✏Quantum Theory from a Nonlinear Perspective Book Summary :** This book provides a unique survey displaying the power of Riccati equations to describe reversible and irreversible processes in physics and, in particular, quantum physics. Quantum mechanics is supposedly linear, invariant under time-reversal, conserving energy and, in contrast to classical theories, essentially based on the use of complex quantities. However, on a macroscopic level, processes apparently obey nonlinear irreversible evolution equations and dissipate energy. The Riccati equation, a nonlinear equation that can be linearized, has the potential to link these two worlds when applied to complex quantities. The nonlinearity can provide information about the phase-amplitude correlations of the complex quantities that cannot be obtained from the linearized form. As revealed in this wide ranging treatment, Riccati equations can also be found in many diverse fields of physics from Bose-Einstein-condensates to cosmology. The book will appeal to graduate students and theoretical physicists interested in a consistent mathematical description of physical laws.

**📒Quantum Probability And Infinite Dimensional Analysis ✍ Habib Ouerdiane**

**Quantum Probability and Infinite Dimensional Analysis**

✏Author :

**Habib Ouerdiane**

✏Publisher :

**World Scientific**

✏Release Date :

**2010**

✏Pages :

**304**

✏ISBN :

**9789814295437**

✏Available Language :

**English, Spanish, And French**

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**✏Quantum Probability and Infinite Dimensional Analysis Book Summary :** This is the proceedings of the 29th Conference on Quantum Probability and Infinite Dimensional Analysis, which was held in Hammamet, Tunisia.

**📒Dynamics And Thermodynamics Of Systems With Long Range Interactions ✍ Thierry Dauxois**

**Dynamics and Thermodynamics of Systems with Long Range Interactions**

✏Author :

**Thierry Dauxois**

✏Publisher :

**Springer Science & Business Media**

✏Release Date :

**2002-12-10**

✏Pages :

**492**

✏ISBN :

**9783540443155**

✏Available Language :

**English, Spanish, And French**

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**✏Dynamics and Thermodynamics of Systems with Long Range Interactions Book Summary :** Properties of systems with long range interactions are still poorly understood despite being of importance in most areas of physics. The present volume introduces and reviews the effort of constructing a coherent thermodynamic treatment of such systems by combining tools from statistical mechanics with concepts and methods from dynamical systems. Analogies and differences between various systems are examined by considering a large range of applications, with emphasis on Bose--Einstein condensates. Written as a set of tutorial reviews, the book will be useful for both the experienced researcher as well as the nonexpert scientist or postgraduate student.

**📒Instabilities And Chaos In Quantum Optics Ii ✍ N.B. Abraham**

**Instabilities and Chaos in Quantum Optics II**

✏Author :

**N.B. Abraham**

✏Publisher :

**Springer Science & Business Media**

✏Release Date :

**1988-09-01**

✏Pages :

**396**

✏ISBN :

**0306429144**

✏Available Language :

**English, Spanish, And French**

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**✏Instabilities and Chaos in Quantum Optics II Book Summary :** This volume contains tutorial papers from the lectures and seminars presented at the NATO Advanced Study Institute on "Instabilities and Chaos in Quantum Optics", held at the "Il Ciocco" Conference Center, Castelvecchio Pascoli, Lucca, Italy, June 28-July 7, 1987. The title of the volume is designated Instabilities and Chaos in Quantum Optics II, because of the nearly coincident publication of a collection of articles on research in this field edited by F.T. Arecchi and R.G. Harrison [Instabilities and Chaos in Quantum Optics, (Springer, Berlin, 1987) 1. That volume provides more detailed information about some of these topics. Together they will serve as a comprehensive and tutorial pair of companion volumes. This school was directed by Prof. Massimo Inguscio, of the Department of Physics, University of Naples, Naples, Italy to whom we express our gratitude on behalf of all lecturers and students. The Scientific Advisory Committee consisted of N.B. Abraham of Bryn Mawr College; F.T. Arecchi of the National Institute of Optics in Florence and the University of Florence, and L.A. Lugiato of the Politechnic Institute of Torino. The school continues the long tradition of Europhysics Summer Schools in Quantum Electronics which have provided instruction and training for young researchers and advanced students working in this field for almost twenty years.

**Theoretical and Mathematical Physics**

✏Author :

✏Publisher :

✏Release Date :

**1995**

✏Pages :

✏ISBN :

**CHI:41294426**

✏Available Language :

**English, Spanish, And French**

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**✏Theoretical and Mathematical Physics Book Summary :**

**Hadronic Journal**

✏Author :

✏Publisher :

✏Release Date :

**1986**

✏Pages :

✏ISBN :

**UOM:39015017616056**

✏Available Language :

**English, Spanish, And French**

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**✏Hadronic Journal Book Summary :**

**📒Equilibrium And Non Equilibrium Statistical Mechanics ✍ Carolyn M. Van Vliet**

**Equilibrium and Non equilibrium Statistical Mechanics**

✏Author :

**Carolyn M. Van Vliet**

✏Publisher :

**World Scientific**

✏Release Date :

**2008**

✏Pages :

**960**

✏ISBN :

**9789812704771**

✏Available Language :

**English, Spanish, And French**

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**✏Equilibrium and Non equilibrium Statistical Mechanics Book Summary :** This book encompasses our current understanding of the ensemble approach to many-body physics, phase transitions and other thermal phenomena, as well as the quantum foundations of linear response theory, kinetic equations and stochastic processes. It is destined to be a standard text for graduate students, but it will also serve the specialist-researcher in this fascinating field; some more elementary topics have been included in order to make the book self-contained.The historical methods of J Willard Gibbs and Ludwig Boltzmann, applied to the quantum description rather than phase space, are featured. The tools for computations in the microcanonical, canonical and grand-canonical ensembles are carefully developed and then applied to a variety of classical and standard quantum situations. After the language of second quantization has been introduced, strongly interacting systems, such as quantum liquids, superfluids and superconductivity, are treated in detail. For the connoisseur, there is a section on diagrammatic methods and applications.In the second part dealing with non-equilibrium processes, the emphasis is on the quantum foundations of Markovian behaviour and irreversibility via the Pauli-Van Hove master equation. Justifiable linear response expressions and the quantum-Boltzmann approach are discussed and applied to various condensed matter problems. From this basis the Onsager-Casimir relations are derived, together with the mesoscopic master equation, the Langevin equation and the Fokker-Planck truncation procedure. Brownian motion and modern stochastic problems such as fluctuations in optical signals and radiation fields briefly make the round.

**📒Nonlinear Dynamics In Classical And Quantum Systems ✍ Hans Cruz Prado**

**Nonlinear Dynamics in Classical and Quantum Systems**

✏Author :

**Hans Cruz Prado**

✏Publisher :

✏Release Date :

**2020**

✏Pages :

✏ISBN :

**OCLC:1159978300**

✏Available Language :

**English, Spanish, And French**

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**✏Nonlinear Dynamics in Classical and Quantum Systems Book Summary :** In this work a nonlinear evolution of pure states of a finite dimensional quantum system is introduced, in particular a Riccati evolution equation. It is shown how this class of dynamics is actually a Hamiltonian dynamics in the complex projective space. In this projective space it is shown that there is a nonlinear superposition rule, consistent with its linear counterpart in the Hilbert space. As an example, the developed nonlinear formalism is applied to the semiclassical Jaynes-Cummings model. Later, it is shown that there is an inherent nonlinear evolution in the dynamics of the so-called generalized coherent states. To show this, the fact that in quantum mechanics it is possible to immerse a ''classical'' manifold into the Hilbert space is employed, such that one may parametrize the time-dependence of the wave function through the variation of parameters in the classical manifold. The immersion allows to consider the so-called principle of analogy, i.e. using the procedures and structures available from the classical setting to employ them in the quantum setting. Finally, it is introduced the contact Hamiltonian mechanics, an extension of symplectic Hamiltonian mechanics, and it is showed that it is a natural candidate for a geometric description of non-dissipative and dissipative systems.

**📒Advances In Solid State Physics 48 ✍ Rolf Haug**

**Advances in Solid State Physics 48**

✏Author :

**Rolf Haug**

✏Publisher :

**Springer Science & Business Media**

✏Release Date :

**2008-11-27**

✏Pages :

**388**

✏ISBN :

**9783540858591**

✏Available Language :

**English, Spanish, And French**

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**✏Advances in Solid State Physics 48 Book Summary :** The 2008 Spring Meeting of the Arbeitskreis Festkörperphysik was held in Berlin, Germany, between February 24 and February 29, 2008 in conjunction with the 72nd Annual Meeting of the Deutsche Physikalische Gesellschaft. The 2008 meeting was the largest physics meeting in Europe and among the largest physics meetings in the world in 2008.

**📒Quantum Tunneling In Complex Systems ✍ Joachim Ankerhold**

**Quantum Tunneling in Complex Systems**

✏Author :

**Joachim Ankerhold**

✏Publisher :

**Springer Science & Business Media**

✏Release Date :

**2007-02-15**

✏Pages :

**210**

✏ISBN :

**9783540680741**

✏Available Language :

**English, Spanish, And French**

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**✏Quantum Tunneling in Complex Systems Book Summary :** In the last two decades remarkable progress has been made in understanding and describing tunneling processes in complex systems in terms of classical trajectories. This book introduces recent concepts and achievements with particular emphasis on a dynamical formulation and relations to specific systems in mesoscopic, molecular, and atomic physics. Advanced instanton techniques, e.g. for decay rates and tunnel splittings, are discussed in the first part. The second part covers current developments for wave-packet tunneling in real-time, and the third part describes thermodynamics and dynamical approaches for barrier transmission in statistical, particularly dissipative systems.

**Physics Briefs**

✏Author :

✏Publisher :

✏Release Date :

**1992**

✏Pages :

✏ISBN :

**UOM:39015026182777**

✏Available Language :

**English, Spanish, And French**

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**✏Physics Briefs Book Summary :**

**General physics relativity astronomy and mathematical physics and methods**

✏Author :

✏Publisher :

✏Release Date :

**2001**

✏Pages :

✏ISBN :

**UCSD:31822023011893**

✏Available Language :

**English, Spanish, And French**

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**✏General physics relativity astronomy and mathematical physics and methods Book Summary :**

**Romanian Journal of Physics**

✏Author :

✏Publisher :

✏Release Date :

**2002**

✏Pages :

✏ISBN :

**UCLA:L0089110910**

✏Available Language :

**English, Spanish, And French**

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**✏Romanian Journal of Physics Book Summary :**

**Hadronic Journal Supplement**

✏Author :

✏Publisher :

✏Release Date :

**1986**

✏Pages :

✏ISBN :

**CHI:38959354**

✏Available Language :

**English, Spanish, And French**

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**✏Hadronic Journal Supplement Book Summary :**

**Mathematical Reviews**

✏Author :

✏Publisher :

✏Release Date :

**2002**

✏Pages :

✏ISBN :

**UOM:39015057109889**

✏Available Language :

**English, Spanish, And French**

**Click Here To Get Book**

**✏Mathematical Reviews Book Summary :**

**📒Journal Of The Indian Institute Of Science ✍ Indian Institute of Science, Bangalore**

**Journal of the Indian Institute of Science**

✏Author :

**Indian Institute of Science, Bangalore**

✏Publisher :

✏Release Date :

**1997**

✏Pages :

✏ISBN :

**UCSD:31822009135989**

✏Available Language :

**English, Spanish, And French**

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**✏Journal of the Indian Institute of Science Book Summary :**

**📒Quantum Field Theory And Its Macroscopic Manifestations ✍ Massimo Blasone**

**Quantum Field Theory and Its Macroscopic Manifestations**

✏Author :

**Massimo Blasone**

✏Publisher :

**World Scientific**

✏Release Date :

**2011**

✏Pages :

**526**

✏ISBN :

**9781848162808**

✏Available Language :

**English, Spanish, And French**

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**✏Quantum Field Theory and Its Macroscopic Manifestations Book Summary :** This book is a self-contained presentation of the quantum field theory of topological defects created during spontaneous symmetry breakdown phase transitions, with a particular emphasis on phenomenological issues of current interest.

**📒Computing Anticipatory Systems ✍ American Institute of Physics**

**Computing Anticipatory Systems**

✏Author :

**American Institute of Physics**

✏Publisher :

**American Institute of Physics**

✏Release Date :

**2000-06-15**

✏Pages :

**678**

✏ISBN :

**UCSC:32106012641194**

✏Available Language :

**English, Spanish, And French**

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**✏Computing Anticipatory Systems Book Summary :** This proceedings volume contains foundation of anticipation in any system and applications in all the areas of science: economy, biology, cognition, physics, robotics, etc. Strong anticipatory systems deal with systems which behave in taking into account past, present and computed future states. The new mathematical and computational tools of incursion and hyperincursion are developed in this way. In weak anticipatory systems, the future states are predicted from models of these systems. The domain of computing anticipatory systems is becoming a new frontier of science.