High-dimensional chaotic and attractor systems. A comprehensive introduction

zbMath1118.37003MaRDI QIDQ859488

Vladimir G. Ivancevic, Tijana T. Ivancevic

Publication date: 16 January 2007

Published in: Intelligent Systems, Control and Automation: Science and Engineering (Search for Journal in Brave)

zbMATH Keywords

phase transitionsSynchronizationHamiltonian systemsTurbulence3-body problemSynergeticsFractal dynamicsHigh-dimensional chaos and attractorsJoseph junctions

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Nonlinear systems in control theory (93C10) Stability for nonlinear problems in mechanics (70K20) Bifurcations and instability for nonlinear problems in mechanics (70K50) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Topological entropy (37B40) (n)-body problems (70F10) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12) Applications of dynamical systems (37Nxx)

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