Geometric Methods For Discrete Dynamical Systems

Author: Robert W. Easton
Publisher: Oxford University Press
ISBN: 9780195359046
Size: 25.62 MB
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This book looks at dynamics as an iteration process where the output of a function is fed back as an input to determine the evolution of an initial state over time.

Vibro Impact Dynamics

Author: Albert C. J. Luo
Publisher: John Wiley & Sons
ISBN: 1118402901
Size: 43.14 MB
Format: PDF, Docs
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After literature survey, in the next two chapters, the theory for nonlinear discrete
systems is presented from the recent development of the first author primarily,
including the YingYang theory of discrete dynamical systems based on the
positive and negative maps in discrete dynamical systems. The complete
dynamics of nonlinear discrete dynamical systems is discussed and applied to
one and twodimensional discrete systems, and a geometric method is discussed
for the fractality and ...

Applications Of Analytic And Geometric Methods To Nonlinear Differential Equations

Author: P.A. Clarkson
Publisher: Springer Science & Business Media
ISBN: 9780792324577
Size: 72.34 MB
Format: PDF
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Integrable nonlinear equations can have different forms; they appear as
differential, partial differential, discrete and integro-differential equations. In this
lecture we show that also cellular automata and algebraic and functional
equations can be included in this general picture. 1. Integrable Cellular Autornata
Here we present a short summary of the papers [1]—[3], written in collaboration
with M. Bruschi and O. Ragnisco. 1 + l-dimensional cellular automata (CA) are
dynamical systems ...

Geometric Theory Of Discrete Nonautonomous Dynamical Systems

Author: Christian Pötzsche
Publisher: Springer Science & Business Media
ISBN: 3642142575
Size: 42.99 MB
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As a byproduct, under dissipativity conditions we get bound- edness for forward
solutions of implicit one-step methods. • In order to apply the results from Chap.1
it is of crucial importance to have criteria at hand, which ensure existence and
uniqueness of forward solutions inducing 2-parameter semigroups in form of the
so-called general (forward) so- lution. Beyond that we investigate how continuity
and compactness properties carry over to the general solution. Having this at
hand, ...

Discrete Dynamical Systems

Author: Oded Galor
Publisher: Springer Science & Business Media
ISBN: 3540367764
Size: 23.95 MB
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This book provides an introduction to discrete dynamical systems – a framework of analysis that is commonly used in the ?elds of biology, demography, ecology, economics, engineering, ?nance, and physics.

An Introduction To Dynamical Systems

Author: Rex Clark Robinson
Publisher: American Mathematical Soc.
ISBN: 0821891359
Size: 72.26 MB
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This book gives a mathematical treatment of the introduction to qualitative differential equations and discrete dynamical systems.

Modern Geometry Methods And Applications

Author: B.A. Dubrovin
Publisher: Springer Science & Business Media
ISBN: 9780387961620
Size: 40.45 MB
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The dynamical system is not however integrable (i.e. does not have a "prime"
integral of motion — see Part I, §23.2, Example (a), or below); in fact every one of
the surfaces R+(y) and R-(y), and "almost every" trajectory y of the geodesic flow,
constitutes an everywhere ... This will occur if the metric on the manifold M has a
non- discrete group of isometries (as for example when M is a homogeneous
space, or a surface of revolution in Euclidean space), and in certain other special

Fractal Geometry And Dynamical Systems In Pure And Applied Mathematics Ii

Author: David Carfi
Publisher: American Mathematical Soc.
ISBN: 0821891480
Size: 33.54 MB
Format: PDF
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Volume 601, 2013 An Algorithm for
Dynamical Games with Fractal-Like Trajectories David Carf`ı and Angela
Ricciardello Abstract. In this paper, we propose an algorithm to represent the
payoff trajectory of two-player discrete-time dynamical games. Specifically, we
consider discrete dynamical games which can be modeled as sequences of
normal-form games (the states of the dynamical game) with payoff functions of
class C1. In this context ...

Geometric Methods In Dynamics

Author: Jacob Palis Júnior
Size: 80.42 MB
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SYSTEMS by Yuri Kifer Dedicated to Jacob Palis for his sixtieth birthday Abstract.
— The averaging ... Usually, averaging methods are applied to systems of
differential equations which combine slow and fast motions. This paper deals
with ... On the other hand, it is well known that the study of discrete time
dynamical systems, i.e. of iterates of 2<m Mathematics Subject Classification. —
Primary: 34C05 ...

Dynamical Systems

Author: Werner Krabs
Publisher: Springer Science & Business Media
ISBN: 9783642137228
Size: 51.51 MB
Format: PDF
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In its present abstract form this concept goes back to G.D. Birkhoff. This is also the starting point of Chapter 1 of this book in which uncontrolled and controlled time-continuous and time-discrete systems are investigated.