Found 672 Documents (Results 1–100)
Simulating a breakup event and propagating the orbits of space debris. (English) Zbl 07917713
MSC:
70-XX
Mass-independent shapes for relative equilibria in the two-dimensional positively curved three-body problem. (English) Zbl 07908392
MSC:
70F07
Inertial focusing dynamics of spherical particles in curved microfluidic ducts with a trapezoidal cross section. (English) Zbl 07906724
Theoretical and computational models for Saturn’s co-orbiting moons, Janus and Epimetheus. (English) Zbl 07881858
Invariant manifolds near \(L_1\) and \(L_2\) in the Sun-Jupiter elliptic restricted three-body problem. I. (English) Zbl 07881856
Low-energy Earth-Moon transfers via theory of functional connections and homotopy. (English) Zbl 07881851
Slow invariant manifolds of singularly perturbed systems via physics-informed machine learning. (English) Zbl 07881660
Existence and linear stability of symmetric periodic orbits in the generalized planar Stark-Zeeman problem. (English) Zbl 07881042
Strong symmetry breaking rhythms created by folded nodes in a pair of symmetrically coupled, identical Koper oscillators. (English) Zbl 07864890
A modified parameterization method for invariant Lagrangian tori for partially integrable Hamiltonian systems. (English) Zbl 07864731
Circular restricted full three-body problem with rigid-body spacecraft dynamics in binary asteroid systems. (English) Zbl 1540.70039
Second-kind symmetric periodic orbits for planar perturbed Kepler problems and applications. (English) Zbl 07850900
Invariant tori of rectilinear type in the spatial three-body problem. (English) Zbl 07845259
Reviewer: Maria Gousidou-Koutita (Thessaloniki)
Higher-order nonlinear dynamical systems and invariant Lagrangians on a Lie group: the case of nonlocal Hunter-Saxton type peakons. (English) Zbl 07843974
The possibility of tachyons as soliton solutions in \(3+1\) dimensions via \(k\)-field models. (English) Zbl 07840544
Constrained evolution of Hamiltonian phase space distributions in the presence of natural, non-conservative forces. (English) Zbl 1540.70038
\((\mathbb{R}^3 \times SO(3) \times \mathbb{T}^6)\)-reduction, relative equilibria, and bifurcations for the full averaged model of two interacting rigid bodies. (English) Zbl 1539.70008
Hamiltonian Hopf bifurcations near a chaotic Hamiltonian resonance. (English) Zbl 07814529
Reviewer: Jörg Härterich (Bochum)
Revisiting the Kepler problem with linear drag using the blowup method and normal form theory. (English) Zbl 1539.37098
Reduced order characterization of nonlinear oscillations using an adaptive phase-amplitude coordinate framework. (English) Zbl 1533.70022
On the detection of nonlinear normal mode-related isolated branches of periodic solutions for high-dimensional nonlinear mechanical systems with frictionless contact interfaces. (English) Zbl 1536.70023
Flow map parameterization methods for invariant tori in quasi-periodic Hamiltonian systems. (English) Zbl 1535.37074
Semianalytical computation of heteroclinic connections between center manifolds with the parameterization method. (English) Zbl 1535.37099
Fully numerical computation of heteroclinic connection families in the spatial three-body problem. (English) Zbl 1532.70015
The connection between the dynamical properties of 3D systems and the image of the energy-Casimir mapping. (English) Zbl 1538.70029
Accurate computations up to breakdown of quasi-periodic attractors in the dissipative spin-orbit problem. (English) Zbl 1530.70014
Computer assisted proof of homoclinic chaos in the spatial equilateral restricted four-body problem. (English) Zbl 1529.70014
Transient chimera states emerging from dynamical trapping in chaotic saddles. (English) Zbl 07861892
Transitional cluster dynamics in a model for delay-coupled chemical oscillators. (English) Zbl 07858607
Bifurcation and geometric singular perturbation analysis of a multi-timescale pituitary model. (English) Zbl 07848393
Chaotic dynamics of generalized elliptical Sitnikov \((N+1)\)-body problem. (Chinese. English summary) Zbl 07828126
Discovering efficient periodic behaviors in mechanical systems via neural approximators. (English) Zbl 1531.93354
Nonholonomic systems with inequality constraints. (English) Zbl 1534.70029
Nielsen, Frank (ed.) et al., Geometric science of information. 6th international conference, GSI 2023, St. Malo, France, August 30 – September 1, 2023. Proceedings. Part II. Cham: Springer. Lect. Notes Comput. Sci. 14072, 97-104 (2023).
Co-cluster homotopy queuing model in nonlinear algebraic topological structure for improving poison distribution network communication. (English) Zbl 07785925
Topological travelling waves of a macroscopic swarmalator model in confined geometries. (English) Zbl 1530.35213
A double variable-length pendulum with counterweight mass, kinematic excitation and electromagnetic forcing. (English) Zbl 07762115
Dynamics of a self-propelled capsule robot in contact with different folds in the small intestine. (English) Zbl 1531.70010
A velocity alignment model with a bonding force on complete Riemannian manifolds. (English) Zbl 1529.34041
Nonlinear dynamics and onset of chaos in a physical model of a damper pressure relief valve. (English) Zbl 1540.70036
Fixed-time stabilization of periodic linear systems and its application to the elliptical spacecraft rendezvous. (English) Zbl 1520.93492
Breakdown of homoclinic orbits to \(L_3\) in the RPC3BP. II: An asymptotic formula. (English) Zbl 1526.70009
Coordinated optimization of locomotion velocity and energy consumption in vibration-driven system. (English) Zbl 1518.70008
Controlling chaos in bi-stable energy harvesting systems using delayed feedback control. (English) Zbl 1523.70034
Framework for the full N-body problem in \(\mathsf{SE}(3)\) and its reduction to the circular restricted full three-body problem. (English) Zbl 1521.70015
Stability, periodic solution and KAM tori in the circular restricted \((N+1)\)-body problem on \({\mathbb{S}}^3\) and \({\mathbb{H}}^3\). (English) Zbl 1527.70011
Collective behaviors of stochastic agent-based models and applications to finance and optimization. (English) Zbl 1517.34078
Periodic solutions, KAM tori, and bifurcations in the planar anisotropic Schwarzschild-type problem. (English) Zbl 1528.37050
Reviewer: Giovanni Rastelli (Vercelli)
Explicit nondegeneracy conditions of KAM tori for the planar \(N\)-point vortex systems. (English) Zbl 1516.37072
Sufficient conditions for asymptotic phase-locking to the generalized Kuramoto model. (English) Zbl 1514.34088
Old perturbative methods for a new problem in celestial mechanics: the space debris dynamics. (English) Zbl 1518.70014
Periodic oscillations in the restricted hip-hop \(2N+1\)-body problem. (English) Zbl 1521.70016
Reviewer: Alain Albouy (Paris)
Computer assisted proofs for transverse collision and near collision orbits in the restricted three body problem. (English) Zbl 1520.37058
Classification of positive elliptic-elliptic rotopulsators on Clifford tori. (English) Zbl 1526.70012
Bifurcation and number of periodic solutions of some \(2n\)-dimensional systems and its application. (English) Zbl 1519.37055
Resonance of ellipsoidal billiard trajectories and extremal rational functions. (English) Zbl 1512.14019
Reviewer: Ahmed Lesfari (El Jadida)
On the restricted \((N + 1)\)-body problem on surfaces of constant curvature. (English) Zbl 1515.70012
Uniform bifurcation of comet-type periodic orbits in the restricted \((n + 1)\)-body problem with non-Newtonian homogeneous potential. (English) Zbl 1526.70011
Reviewer: Predrag Punosevac (Pittsburgh)
Fully nonlinear Cucker-Smale model for pattern formation and damped oscillation control. (English) Zbl 1514.70037
A converse sum of squares Lyapunov function for outer approximation of minimal attractor sets of nonlinear systems. (English) Zbl 1515.37025
Koopman operator-based driver-vehicle dynamic model for shared control systems. (English) Zbl 1510.93212
Global modelling of nonlinear spatiotemporal dynamics of a drill-string with multiple regenerative effects. (English) Zbl 1510.70052
MSC:
70K20
Determination of the doubly symmetric periodic orbits in the restricted three-body problem and Hill’s lunar problem. (English) Zbl 1511.70009
Reviewer: Maria Gousidou-Koutita (Thessaloniki)
Global dynamics and bifurcation for a discontinuous oscillator with irrational nonlinearity. (English) Zbl 1518.70023
Novel slow-fast behaviour in an oscillator driven by a frequency-switching force. (English) Zbl 1514.34032
Limit cycles for dynamic crawling locomotors with periodic prescribed shape. (English) Zbl 1515.70028
On the stability of symmetric periodic solutions of the generalized elliptic Sitnikov \((N + 1)\)-body problem. (English) Zbl 1504.70013
Resonances in asymptotically autonomous systems with a decaying chirped-frequency excitation. (English) Zbl 1508.34061
Exact and perturbation methods in the dynamics of legged locomotion. (English) Zbl 07907947
Gaeta, Giuseppe (ed.), Perturbation theory. Mathematics, methods and applications. New York, NY: Springer; Springer Reference. Encycl. Complex. Syst. Sci. Ser., 519-540 (2022).
Quantum bifurcations. (English) Zbl 07907942
Gaeta, Giuseppe (ed.), Perturbation theory. Mathematics, methods and applications. New York, NY: Springer; Springer Reference. Encycl. Complex. Syst. Sci. Ser., 433-455 (2022).
Computational methods in perturbation theory. (English) Zbl 07907929
Gaeta, Giuseppe (ed.), Perturbation theory. Mathematics, methods and applications. New York, NY: Springer; Springer Reference. Encycl. Complex. Syst. Sci. Ser., 153-165 (2022).
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