| Exact Solutions and Integrability of the Duffing - Van der Pol Equation |
10 |
| Painleve Analysis and a Solution to the Traveling Wave Reduction of the Radhakrishnan - Kundu - Lakshmanan Equation |
9 |
| Different Models of Rolling for a Robot Ball on a Plane as a Generalization of the Chaplygin Ball Problem |
6 |
| Euler Elasticas for Optimal Control of the Motion of Mobile Wheeled Robots: the Problem of Experimental Realization |
6 |
| Dynamics-Based Motion Planning for a Pendulum-Actuated Spherical Rolling Robot |
6 |
| Chaos and Hyperchaos in Coupled Antiphase Driven Toda Oscillators |
6 |
| Sub-Finsler Geodesics on the Cartan Group |
6 |
| Synchronization of Chimera States in a Network of Many Unidirectionally Coupled Layers of Discrete Maps |
5 |
| Exotic Dynamics of Nonholonomic Roller Racer with Periodic Control |
5 |
| Detection of Phase Space Structures of the Cat Map with Lagrangian Descriptors |
4 |
| Stability and Noise-induced Transitions in an Ensemble of Nonlocally Coupled Chaotic Maps |
4 |
| Dynamics of a Smooth Profile in a Medium with Friction in the Presence of Parametric Excitation |
4 |
| Linear Hamiltonian Systems: Quadratic Integrals, Singular Subspaces and Stability |
4 |
| On the Normal Force and Static Friction Acting on a Rolling Ball Actuated by Internal Point Masses |
3 |
| Regular and Chaotic Dynamics of a Chaplygin Sleigh due to Periodic Switch of the Nonholonomic Constraint |
3 |
| Lyapunov Analysis of Strange Pseudohyperbolic Attractors: Angles Between Tangent Subspaces, Local Volume Expansion and Contraction |
3 |
| Self-propulsion of a Smooth Body in a Viscous Fluid Under Periodic Oscillations of a Rotor and Circulation |
3 |
| Comparing Dynamics Initiated by an Attached Oscillating Particle for the Nonholonomic Model of a Chaplygin Sleigh and for a Model with Strong Transverse and Weak Longitudinal Viscous Friction Applied at a Fixed Point on the Body |
3 |
| The Dynamics of a Chaplygin Sleigh with an Elastic Internal Rotor |
3 |
| Rational and Special Solutions for Some Painleve Hierarchies |
3 |
| Integrability and Chaos in Vortex Lattice Dynamics |
2 |
| The Kepler Problem: Polynomial Algebra of Nonpolynomial First Integrals |
2 |
| Singular Reduction of the 2-Body Problem on the 3-Sphere and the 4-Dimensional Spinning Top |
2 |
| The Application of Lagrangian Descriptors to 3D Vector Fields |
2 |
| The Self-propulsion of a Foil with a Sharp Edge in a Viscous Fluid Under the Action of a Periodically Oscillating Rotor |
2 |
| On the Hidden Harmonics Associated to Best Approximants Due to Quasi-periodicity in Splitting Phenomena |
2 |
| A Nonholonomic Model of the Paul Trap |
2 |
| On Discretization of the Euler Top |
2 |
| Normalization Through Invariants in n-dimensional Kepler Problems |
2 |
| Qualitative Analysis of the Nonholonomic Rolling of a Rubber Wheel with Sharp Edges |
2 |
| Nonlinear Dynamics of a Bubble Contrast Agent Oscillating near an Elastic Wall |
2 |
| Complete Set of Invariants for a Bykov Attractor |
2 |
| Hamiltonization and Separation of Variables for a Chaplygin Ball on a Rotating Plane |
2 |
| On the Constructive Algorithm for Stability Analysis of an Equilibrium Point of a Periodic Hamiltonian System with Two Degrees of Freedom in the Case of Combinational Resonance |
2 |
| Roaming at Constant Kinetic Energy: Chesnavich's Model and the Hamiltonian Isokinetic Thermostat |
2 |
| Jumps of Energy Near a Homoclinic Set of a Slowly Time Dependent Hamiltonian System |
1 |
| Stability of Periodic Solutions of the N-vortex Problem in General Domains |
1 |
| V. I. Arnold's Pointwise KAM Theorem |
1 |
| Recent Results on the Dynamics of Higher-dimensional Henon Maps |
1 |
| Asymptotic and Exact Solutions of the FitzHugh - Nagumo Model |
1 |
| The Spectrum of Reversible Minimizers |
1 |
| On the Chaplygin Sphere in a Magnetic Field |
1 |
| Generalized Contour Dynamics: A Review |
1 |
| Dipole and Multipole Flows with Point Vortices and Vortex Sheets |
1 |
| Choreographies in the n-vortex Problem |
1 |
| Three Vortices in Spaces of Constant Curvature: Reduction, Poisson Geometry, and Stability |
1 |
| Integrable Nonsmooth Nonholonomic Dynamics of a Rubber Wheel with Sharp Edges |
1 |
| Global Bifurcations in Generic One-parameter Families on S-2 |
1 |
| Equivariant Classification of b(m)-symplectic Surfaces |
1 |
| Hyperbolic Chaos in Systems Based on FitzHugh - Nagumo Model Neurons |
1 |
