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Fast topological pum** for the generation of large-scale Greenberger-Horne-Zeilinger states in a superconducting circuit
Topological pum** of edge states in the finite lattice with nontrivial topological phases provides a powerful means for robust excitation transfer,...
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Linear and Nonlinear Dimensionality Reduction
In this chapter, we start with a simple 2D rotation matrix example to demonstrate the rationale for representing complex phenomena in terms of their...
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Model-based adaptive locomotion and clustering control of microparticles through ultrasonic topological charge modulation
We present a novel motion control technique for microrobot clusters to exploit the characteristics of the ultrasonic field. The method comprises two...
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Spontaneous flow created by active topological defects
AbstractTopological defects are at the root of the large-scale organization of liquid crystals. In two-dimensional active nematics, two classes of...
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Shape Optimization with Nonlinear Conjugate Gradient Methods
In this chapter, we investigate recently proposed nonlinear conjugate gradient (NCG) methods for shape optimization problems. We briefly introduce...
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Leader-Follower Free-Will Arbitrary Time Consensus for Nonlinear Second-Order Multiagent Systems
In this research ,we study the leader-follower consensus at free-will arbitrary time (FWAT) for second-order multi-agent systems (MASs) with a fixed...
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Solitary Waves of Nonlinear Nonintegrable Equations
Our goal is to find closed form analytic expressions for the solitary waves of nonlinear nonintegrable partial differential equations. The suitable...
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Intrinsic Nonlinear Elasticity: An Exterior Calculus Formulation
In this paper, we formulate the theory of nonlinear elasticity in a geometrically intrinsic manner using exterior calculus and bundle-valued...
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Nonmetric geometric flows and quasicrystalline topological phases for dark energy and dark matter in \(f(Q)\) cosmology
We elaborate on nonmetric geometric flow theory and metric-affine gravity with applications in modern cosmology. Two main motivations for our...
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A Novel Strategy of Extending the Domain of Attraction of Affine Nonlinear Systems
In this paper, a novel strategy of extending the domain of attraction of an asymptotically stable, affine nonlinear system is proposed. This method...
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Higher-derivative holography with a chemical potential
We carry out an extensive study of the holographic aspects of any-dimensional higher-derivative Einstein-Maxwell theories in a fully analytic and...
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Prescribed-Time Leader-Follower Bipartite Consensus for Nonlinear Multi-agent Systems
This paper considers the prescribed-time leader-follower bipartite consensus (PTLFBC) issue for nonlinear multi-agent systems (MASs). Firstly, a...
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Robust Nonlinear Control and Observation
An objective of a control theory is to influence the dynamics of a system to guarantee its desired behavior. Challenges arising in this way are...
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Comprehensive study on fail-safe topological design method for 3D structures
Fail-safe topology optimization is valuable for ensuring that optimized structures remain operable even under damaged conditions. By selectively...
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MAxSIM: multi-angle-crossing structured illumination microscopy with height-controlled mirror for 3D topological map** of live cells
Map** 3D plasma membrane topology in live cells can bring unprecedented insights into cell biology. Widefield-based super-resolution methods such...
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General relativity and topological string duality through Penrose–Ward transform
This paper discusses the relation between topological M-theory, self-dual Yang–Mills and general relativity. We construct a topological membrane...
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Existence of Three Solutions to a Class of Nonlinear Equations on Graphs
Let u be a function on locally finite connect graph G = ( V, E ) and Ω be a bounded subset of V . We consider the nonlinear Dirichlet boundary condition...
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Observation of nonlinear response and Onsager regression in a photon Bose-Einstein condensate
The quantum regression theorem states that the correlations of a system at two different times are governed by the same equations of motion as the...
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General nonlinear Hall current in magnetic insulators beyond the quantum anomalous Hall effect
Can a generic magnetic insulator exhibit a Hall current? The quantum anomalous Hall effect (QAHE) is one example of an insulating bulk carrying a...
