most citedContinuation of Periodic Orbits in Conservative Hybrid Dynamical Systems and its Application to Mechanical Systems with Impulsive Dynamics

2 citations · 5 across the 7 of their papers we have counts for

collaborators

7 papers

cs.RO2025

How Leg Stiffness Affects Energy Economy in Hopping

Iskandar Khemakhem, Dominik Tschemernjak, Maximilian Raff +1

In the fields of robotics and biomechanics, the integration of elastic elements such as springs and tendons in legged systems has long been recognized for enabling energy-efficient…

eess.SY2024

The impact of AI on engineering design procedures for dynamical systems

Kristin M. de Payrebrune, Kathrin Flaßkamp, Tom Ströhla +19

Artificial intelligence (AI) is driving transformative changes across numerous fields, revolutionizing conventional processes and creating new opportunities for innovation. The dev…

math.OC2024

Koopman Based Trajectory Optimization with Mixed Boundaries

Mohamed Abou-Taleb, Maximilian Raff, Kathrin Flaßkamp +1

Trajectory optimization is a widely used tool in the design and control of dynamical systems. Typically, not only nonlinear dynamics, but also couplings of the initial and final co…

cs.CY2024★ 2 cited

Data Publishing in Mechanics and Dynamics: Challenges, Guidelines, and Examples from Engineering Design

Henrik Ebel, Jan van Delden, Timo Lüddecke +15

Data-based methods have gained increasing importance in engineering, especially but not only driven by successes with deep artificial neural networks. Success stories are prevalent…

cs.RO2024

The Indirect Method for Generating Libraries of Optimal Periodic Trajectories and Its Application to Economical Bipedal Walking

Maximilian Raff, Kathrin Flaßkamp, C. David Remy

Trajectory optimization is an essential tool for generating efficient, dynamically consistent gaits in legged locomotion. This paper explores the indirect method of trajectory opti…

eess.SY2024★ 1 cited

Swing-Up of a Weakly Actuated Double Pendulum via Nonlinear Normal Modes

Arne Sachtler, Davide Calzolari, Maximilian Raff +5

We identify the nonlinear normal modes spawning from the stable equilibrium of a double pendulum under gravity, and we establish their connection to homoclinic orbits through the u…

math.DS2024★ 2 cited

Continuation of Periodic Orbits in Conservative Hybrid Dynamical Systems and its Application to Mechanical Systems with Impulsive Dynamics

Maximilian Raff, C. David Remy

In autonomous differential equations where a single first integral is present, periodic orbits are well-known to belong to one-parameter families, parameterized by the first integr…