A5040086724- Mathematical Dynamics and Fractals
- advanced mathematical theories
- Advanced Differential Equations and Dynamical Systems
- Nonlinear Dynamics and Pattern Formation
- Robotic Locomotion and Control
- Quantum chaos and dynamical systems
- Topological and Geometric Data Analysis
- Control and Dynamics of Mobile Robots
- Geometric Analysis and Curvature Flows
- Stability and Controllability of Differential Equations
- Biomimetic flight and propulsion mechanisms
- Black Holes and Theoretical Physics
- Micro and Nano Robotics
- Dynamics and Control of Mechanical Systems
- stochastic dynamics and bifurcation
- Computer Graphics and Visualization Techniques
- Neural dynamics and brain function
- Nonlinear Waves and Solitons
- Cosmology and Gravitation Theories
- Sports Dynamics and Biomechanics
- Fluid Dynamics and Turbulent Flows
- Morphological variations and asymmetry
- Slime Mold and Myxomycetes Research
- Neural Networks Stability and Synchronization
- Advanced Numerical Analysis Techniques
Universidade de São Paulo
2016-2021
Imperial College London
2014-2016
Utrecht University
1991-2013
We study synchronisation properties of networks coupled dynamical systems with interaction akin to diffusion. assume that the isolated node dynamics possesses a forward invariant set on which it has bounded Jacobian, then we characterise class coupling functions allows for uniformly stable in connected complex --- sense there is an open neighbourhood initial conditions attracted towards synchronisation. Moreover, this persists under perturbations non-identical dynamics. illustrate theory...
We study global properties of the (center-)stable manifold a normally attracting invariant (NAIM), special case hyperbolic (NHIM) with empty unstable bundle. restrict our attention to continuous-time dynamical systems, or flows. show that stable foliation NAIM has structure topological disk bundle, and similar statements hold for inflowing NAIMs general compact NHIMs. Furthermore, Ck bundle if local is assumed Ck. then dynamics restricted are globally topologically conjugate linearized...
In this paper we illustrate the potential role which relative limit cycles may play in biolocomotion. We do by describing, great detail, an elementary example of reduction a lightly dissipative system modeling crawling-type locomotion three dimensions. The symmetry group SE(2) is set rigid transformations horizontal (ground) plane. Given time-periodic perturbation, will admit cycle whereupon each period related to previous fixed translation and rotation along ground. This toy model...
We establish the existence of chimera states, simultaneously supporting synchronous and asynchronous dynamics, in a network consisting two symmetrically linked star subnetworks identical oscillators with shear Kuramoto--Sakaguchi coupling. show that states may be metastable or asymptotically stable. If intra-star coupling strength is order $\varepsilon$, persist on time scales at least $1/\varepsilon$ general, time-scales $1/\varepsilon^2$ if type. configuration sparse, chimeras are The...
In this Master thesis we consider 't Hooft's polygon model for 2+1D gravity. After a detailed review of the in classical context, discuss problems associated with its quantization and calculate explicitly full Poisson structure constraints. The calculation chapter 6 introduces corrections generalizations to earlier published results. We show that closes on shell, but not off shell. An attempt is made interpret gauge orbits generated by