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Phase-coupled oscillators serve as paradigmatic models of networks of weakly interacting oscillatory units in physics and biology. The order parameter which quantifies synchronization was so far found to be chaotic only in systems with…

Chaotic Dynamics · Physics 2011-12-12 Christian Bick , Marc Timme , Danilo Paulikat , Dirk Rathlev , Peter Ashwin

The behaviors of coupled chaotic oscillators before complete synchronization were investigated. We report three phenomena: (1) The emergence of long-time residence of trajectories besides one of the saddle foci; (2) The tendency that orbits…

Chaotic Dynamics · Physics 2009-11-11 Bin Ao , Zhigang Zheng

This paper discusses applications of a particular control technique that can be used to very efficiently stabilize a chaotic system onto a large subset of the unstable periodic orbits that are typically embedded in the system. The control…

Chaotic Dynamics · Physics 2017-01-03 Matthew Morena , Kevin Short

The paper proposes a novel calibration approach for the Orthoglide-type mechanisms based on observations of the manipulator leg parallelism during mo-tions between the prespecified test postures. It employs a low-cost measuring system…

Robotics · Computer Science 2007-11-13 Anatoly Pashkevich , Damien Chablat , Philippe Wenger

The planning of whole-body motion and step time for bipedal locomotion is constructed as a model predictive control (MPC) problem, in which a sequence of optimization problems needs to be solved online. While directly solving these problems…

Robotics · Computer Science 2021-05-24 Yijie Guo , Mingwei Zhang , Hao Dong , Mingguo Zhao

It has been shown that max-plus linear systems are well suited for applications in synchronization and scheduling, such as the generation of train timetables, manufacturing, or traffic. In this paper we show that the same is true for…

Systems and Control · Computer Science 2019-03-29 G. A. D. Lopes , B. Kersbergen , B. De Schutter , T. J. J. van den Boom , R. Babuska

We present a minimal phase oscillator model for learning quadrupedal locomotion. Each of the four oscillators is coupled only to itself and its corresponding leg through local feedback of the ground reaction force, which can be interpreted…

Robotics · Computer Science 2024-02-20 Jenny Zhang , Steve Heim , Se Hwan Jeon , Sangbae Kim

Learning multiple gaits is non-trivial for legged robots, especially when encountering different terrains and velocity commands. In this work, we present an end-to-end training framework for learning multiple gaits for quadruped robots,…

Robotics · Computer Science 2023-08-08 Jinze Wu , Yufei Xue , Chenkun Qi

Recent advances in data-driven reinforcement learning and motion tracking have substantially improved humanoid locomotion, yet critical practical challenges remain. In particular, while low-level motion tracking and trajectory-following…

Robotics · Computer Science 2026-02-25 Chenxi Han , Yuheng Min , Zihao Huang , Ao Hong , Hang Liu , Yi Cheng , Houde Liu

Stable gait generation is a crucial problem for legged robot locomotion as this impacts other critical performance factors such as, e.g. mobility over an uneven terrain and power consumption. Gait generation stability results from the…

Robotics · Computer Science 2023-07-18 Vyacheslav Kovalev , Anna Shkromada , Henni Ouerdane , Pavel Osinenko

Quadruped robots face persistent challenges in achieving versatile locomotion due to limitations in reference motion data diversity. To address these challenges, we introduce an in-between motion generation based multi-style quadruped robot…

Robotics · Computer Science 2025-08-12 Yuanhao Chen , Liu Zhao , Ji Ma , Peng Lu

Available possibilities to prevent a biped robot from falling down in the presence of severe disturbances are mainly Center of Pressure (CoP) modulation, step location and timing adjustment, and angular momentum regulation. In this paper,…

Robotics · Computer Science 2017-10-25 Fatemeh Nazemi , Aghil Yousefi-koma , Farzad A. shirazi , Majid Khadiv

Decentralized heading control is crucial for robotic network operations such as surveillance, exploration, and cooperative construction. However, few results consider decentralized heading control when the speed of heading adjustment is…

Systems and Control · Electrical Eng. & Systems 2019-10-17 Timothy Anglea , Yongqiang Wang

There is a growing interest in learning a velocity command tracking controller of quadruped robot using reinforcement learning due to its robustness and scalability. However, a single policy, trained end-to-end, usually shows a single gait…

Robotics · Computer Science 2021-12-10 Yunho Kim , Bukun Son , Dongjun Lee

This paper presents a state-of-the-art optimal controller for quadruped locomotion. The robot dynamics is represented using a single rigid body (SRB) model. A linear time-varying model predictive controller (LTV MPC) is proposed by using…

Robotics · Computer Science 2023-10-17 Andrew Zheng , Sriram S. K. S Narayanan

This paper presents a hierarchical control strategy based on hybrid systems theory, nonlinear control, and safety-critical systems to enable cooperative locomotion of robotic guide dogs and visually impaired people. We address…

Optimization and Control · Mathematics 2019-04-08 Kaveh Akbari Hamed , Vinay R. Kamidi , Wen-Loong Ma , Alexander Leonessa , Aaron D. Ames

The bifurcation and chaotic behaviour of unidirectionally coupled deterministic ratchets is studied as a function of the driving force amplitude ($a$) and frequency ($\omega$). A classification of the various types of bifurcations likely to…

Chaotic Dynamics · Physics 2009-11-11 U. E. Vincent , A. Kenfack , A. N. Njah , O. Akinlade

The synchronization of coupled chaotic systems represents a fundamental example of self organization and collective behavior. This well-studied phenomenon is classically characterized in terms of macroscopic parameters, such as Lyapunov…

Synchronisation between coupled oscillatory systems is a common phenomenon in many natural as well as technical systems. Varying the strength of coupling often leads to qualitative changes in the complex dynamics of the mutually coupled…

Chaotic Dynamics · Physics 2016-04-07 Jan F. Feldhoff , Reik V. Donner , Jonathan F. Donges , Norbert Marwan , Jürgen Kurths

Dynamics of coupled chaotic oscillators on a network are studied using coupled maps. Within a broad range of parameter values representing the coupling strength or the degree of elements, the system repeats formation and split of coherent…

Chaotic Dynamics · Physics 2016-12-21 Kenji Shinoda , Kunihiko Kaneko
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