TOWARD A THEORY OF CHAOS

DOI10.1142/S021812740300851XzbMath1099.37506arXivnlin/0408044MaRDI QIDQ4655525

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Publication date: 8 March 2005

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0408044

zbMATH Keywords

complexitymultifunctionstopologyill-posed problemsChaosgraphical convergence

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Ergodic theorems, spectral theory, Markov operators (37A30) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Foundations of time-dependent statistical mechanics (82C03) Numerical methods for ill-posed problems for integral equations (65R30) Nuclear reactor theory; neutron transport (82D75) Numerical methods for inverse problems for integral equations (65R32) Inverse problems in optimal control (49N45) Miscellaneous applications of functional analysis (46N99) Approximation methods and numerical treatment of dynamical systems (37M99) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02)

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Cites Work

• A comparison of different spectra for nonlinear operators
• Full range solution of half space neutron transport problem
• A discretized spectral approximation in neutron transport theory. Some numerical considerations.
• CLARIFYING CHAOS: EXAMPLES AND COUNTEREXAMPLES
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