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This volume constitutes the proceedings of the International Conference on Dynamical Systems in Honor of Prof. Liao Shantao (1920–97). The Third World Academy of Sciences awarded the first ever mathematics prize in 1985 to Prof. Liao in recognition of his foundational work in differentiable dynamical systems and his work in periodic transformation of spheres. The conference was held in Beijing in August 1998. There were about 90 participants, and nearly 60 talks were delivered.
The topics covered include differentiable dynamics, topological dynamics, hamiltonian dynamics, complex dynamics, ergodic and stochastic dynamics, and fractals theory. Dynamical systems is a field with many difficult problems, and techniques are being developed to deal with those problems. This volume contains original studies of great mathematical depth and presents some of the fascinating numerical experiments.
Contents:
- The Dynamics of the Henon-Like Maps (Y-L Cao)
- Nonchaos for Substitution Minimal Systems (Q-J Fan et al.)
- A Note on the Obstruction Sets of Discrete Systems (S-B Gan)
- Topological Pressure of Continuous Flows Without Fixed Points (L-F He et al.)
- Nonlinearity, Quasisymmetry, Differentiability, and Rigidity in One-Dimensional Dynamics (Y-P Jiang)
- The Stability of the Equilibrium of Planar Hamiltonian Systems (B Liu)
- Existence and Uniqueness of Analytic Solutions of Iterative Functional Equations (J-H Mai & X-H Liu)
- On Bimodal Collet-Eckmann Maps (L-Y Wang)
- An Introduction to the C1 Connecting Lemma (L Wen)
- Partial Entropy, Bundle-Like Entropy and Topological Entropy (F-P Zeng)
- and other papers
Readership: Research mathematicians and graduates in analysis and differential equations.
