Sequential gradient dynamics in real analytic Morse systems

DOI10.1080/14689367.2016.1172557zbMath1379.37046arXiv1510.02133OpenAlexW2263747453MaRDI QIDQ5278381

Ferit Öztürk, H. I. Bozma

Publication date: 19 July 2017

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.02133

zbMATH Keywords

descent methodMorse systemŁojasiewicz gradient inequalityreal-analytic gradient flowsequential hybrid process

Mathematics Subject Classification ID

Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Dynamics induced by flows and semiflows (37C10) Artificial intelligence for robotics (68T40) Real-analytic and Nash manifolds (58A07)

Cites Work

• Robot navigation functions on manifolds with boundary
• Topological complexity of motion planning
• A Block Coordinate Descent Method for Regularized Multiconvex Optimization with Applications to Nonnegative Tensor Factorization and Completion
• Topological complexity of collision-free motion planning on surfaces
• Convergence of the Iterates of Descent Methods for Analytic Cost Functions
• Proof of the gradient conjecture of R. Thom.

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