New Methods For Chaotic Dynamics
Magnitskii N.
ISBN: 9789812568175
Vydavateľstvo: World Scientific
Rok vydania: 2006
Väzba: Hardback
Počet strán: 384
Pôvodná cena: 152,19 €
Výstavná cena:
136,97 €(t.j. po zľave 10%)
(Cena je uvedená vrátane 10% DPH)
Katalógová cena: 112 GBP
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This book presents a new theory on the transition to dynamical chaos for two-dimensional nonautonomous, and three-dimensional, many-dimensional and infinitely-dimensional autonomous nonlinear dissipative systems of differential equations including nonlinear partial differential equations and differential equations with delay arguments.The transition is described from the Feigenbaum cascade of period doubling bifurcations of the original singular cycle to the complete or incomplete Sharkovskii subharmonic cascade of bifurcations of stable limit cycles with arbitrary period and finally to the complete or incomplete homoclinic cascade of bifurcations.The book presents a distinct view point on the principles of formation, scenarios of occurrence and ways of control of chaotic motion in nonlinear dissipative dynamical systems. All theoretical results and conclusions of the theory are strictly proved and confirmed by numerous examples, illustrations and numerical calculations.