Differential Dynamical Systems, Revised Edition

DOI10.1137/1.9781611974645zbMath1365.34001OpenAlexW2595590978MaRDI QIDQ5269800

James D. Meiss

Publication date: 28 June 2017

Full work available at URL: https://doi.org/10.1137/1.9781611974645

zbMATH Keywords

stabilitychaosbifurcationordinary differential equationfractals

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Linear ordinary differential equations and systems (34A30) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to ordinary differential equations (34-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to dynamical systems and ergodic theory (37-01) Stability theory for ordinary differential equations (34Dxx) Qualitative theory for ordinary differential equations (34Cxx)

Related Items (18)

Unnamed Item ⋮ Poisson structure of the three-dimensional Euler equations in Fourier space ⋮ Continuous data assimilation for displacement in a porous medium ⋮ Similarities in a First Differential Equations Course ⋮ Convex computation of maximal Lyapunov exponents ⋮ A remark on the onset of resonance overlap ⋮ Distinguishing between regular and chaotic orbits of flows by the weighted Birkhoff average ⋮ Elliptic Bubbles in Moser's 4D Quadratic Map: The Quadfurcation ⋮ The physics and applications of strongly coupled Coulomb systems (plasmas) levitated in electrodynamic traps ⋮ Asymptotic stability of robust heteroclinic networks ⋮ Using scaling-region distributions to select embedding parameters ⋮ On the continuation of degenerate periodic orbits via normal form: lower dimensional resonant tori ⋮ Sensitivity and Bifurcation Analysis of a Differential-Algebraic Equation Model for a Microbial Electrolysis Cell ⋮ Painting the phase space of dissipative systems with Lagrangian descriptors ⋮ On resonances in Hamiltonian systems with three degrees of freedom ⋮ A restricted four-body problem for the figure-eight choreography ⋮ Building mean field ODE models using the generalized linear chain trick & Markov chain theory ⋮ Integrability, normal forms, and magnetic axis coordinates

Uses Software

• Maple
• Mathematica
• Matlab

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