Explores fractional dynamics and Lie group analysis for nonlinear partial differential equations to provide foundational understanding
Covers chaos and complexity in nonlinear Hamiltonian systems, including resonance interactions and DNA information complexity, for advanced insights
Examines chaos and periodic motions in discontinuous dynamical systems, such as piecewise linear and vibro-impact systems, for practical applications
Discusses engineering and financial nonlinearities, including shock wave mechanisms and financial models, for interdisciplinary relevance
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Nonlinear Systems and Complexity Machado, J. A. Tenreiro; Baleanu, Dumitru; Luo, Albert C J Discontinuity in Nonlinear Physical Systems explores recent developments in experimental research in this broad field, organized in four distinct sections. Part I introduces the reader to the fractional dynamics and Lie group analysis for nonlinear