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Controlling chaos and deterministic directed transport in inertia ratchets using backstepping control

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Outgoing claims: the papers this work cites, builds on, or argues with.

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Nonlinear and Adaptive Control
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Nonlinear Physics of Complex Systems
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Quantum ratchets and quantum heat pumps
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Continuous control of chaos by self-controlling feedback
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Nonlinear and Adaptive Control
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Controlling and tracking hyperchaotic Rössler system via active backstepping design
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Phase synchronization in bi-directionally coupled chaotic ratchets
inferredcites →https://doi.org/10.1016/j.physa.2006.08.038openalex-snapshot
Phase synchronization in tilted deterministic ratchets
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Collective current rectification
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Synchronization and control of directed transport in chaotic ratchets via active control
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PID control of a chaotic system: An application to an epidemiological model
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Current reversals in deterministic ratchets: points and dimers
inferredcites →https://doi.org/10.1016/s0370-1573(01)00081-3openalex-snapshot
Brownian motors: noisy transport far from equilibrium
inferredcites →https://doi.org/10.1016/s0375-9601(00)00808-2openalex-snapshot
Observer-based control of a class of chaotic systems
inferredcites →https://doi.org/10.1016/s0375-9601(98)00439-3openalex-snapshot
Sliding mode control for a class of chaotic systems
inferredcites →https://doi.org/10.1016/s0378-4371(03)00187-0openalex-snapshot
Current reversals in chaotic ratchets: the battle of the attractors
inferredcites →https://doi.org/10.1016/s0960-0779(02)00205-9openalex-snapshot
Controlling uncertain Lü system using backstepping design☆
inferredcites →https://doi.org/10.1016/s0960-0779(03)00267-4openalex-snapshot
Chaos control of third-order phase-locked loops using backstepping nonlinear controller
inferredcites →https://doi.org/10.1016/s0960-0779(03)00311-4openalex-snapshot
Nonlinear chaos control in a permanent magnet reluctance machine
inferredcites →https://doi.org/10.1016/s0960-0779(96)00156-7openalex-snapshot
Variable structure control approach for controlling chaos
inferredcites →https://doi.org/10.1016/s1007-5704(03)00042-xopenalex-snapshot
Intermittency and deterministic diffusion in chaotic ratchets
inferredcites →https://doi.org/10.1017/cbo9780511803260openalex-snapshot
Chaos in Dynamical Systems
inferredcites →https://doi.org/10.1021/jp010102ropenalex-snapshot
Minimal Quantum Brownian Rectifiers
inferredcites →https://doi.org/10.1063/1.1535005openalex-snapshot
Brownian Motors
inferredcites →https://doi.org/10.1063/1.1803673openalex-snapshot
Phase synchronization in unidirectionally coupled chaotic ratchets
inferredcites →https://doi.org/10.1063/1.2808369openalex-snapshot
Chaos in Dynamical Systems
inferredcites →https://doi.org/10.1063/1.4796856openalex-snapshot
OSTP Associate Directors Confirmed
inferredcites →https://doi.org/10.1088/0953-8984/17/47/006openalex-snapshot
Chaotic dynamics and control of deterministic ratchets
inferredcites →https://doi.org/10.1103/physreve.62.1988openalex-snapshot
Phase locking effect and current reversals in deterministic underdamped ratchets
inferredcites →https://doi.org/10.1103/physreve.63.061104openalex-snapshot
Quenched disorder effects on deterministic inertia ratchets
inferredcites →https://doi.org/10.1103/physreve.63.066212openalex-snapshot
Stabilization of ratchet dynamics by weak periodic signals
inferredcites →https://doi.org/10.1103/physreve.68.067201openalex-snapshot
Current reversal with type-I intermittency in deterministic inertia ratchets
inferredcites →https://doi.org/10.1103/physreve.71.011107openalex-snapshot
Interacting particles on a rocked ratchet: Rectification by condensation
inferredcites →https://doi.org/10.1103/physreve.71.026228openalex-snapshot
Directed chaotic transport in Hamiltonian ratchets
inferredcites →https://doi.org/10.1103/physreve.72.036210openalex-snapshot
Anticipated synchronization in coupled inertial ratchets with time-delayed feedback: A numerical study
inferredcites →https://doi.org/10.1103/physreve.72.056213openalex-snapshot
Bifurcation and chaos in coupled ratchets exhibiting synchronized dynamics
inferredcites →https://doi.org/10.1103/physrevlett.64.1196openalex-snapshot
Controlling chaos
inferredcites →https://doi.org/10.1103/physrevlett.76.3436openalex-snapshot
Regular and Chaotic Transport in Asymmetric Periodic Potentials: Inertia Ratchets
inferredcites →https://doi.org/10.1103/physrevlett.84.258openalex-snapshot
Chaotic Transport and Current Reversal in Deterministic Ratchets
inferredcites →https://doi.org/10.1103/physrevlett.86.2265openalex-snapshot
Control of Chaos via an Unstable Delayed Feedback Controller
inferredcites →https://doi.org/10.1103/physrevlett.87.070601openalex-snapshot
Classical and Quantum Hamiltonian Ratchets
inferredcites →https://doi.org/10.1103/physrevlett.91.010601openalex-snapshot
Controlling Transport in Mixtures of Interacting Particles using Brownian Motors
inferredcites →https://doi.org/10.1103/physrevlett.92.160602openalex-snapshot
Manipulating Small Particles in Mixtures far from Equilibrium
inferredcites →https://doi.org/10.1109/37.165507openalex-snapshot
The joy of feedback: nonlinear and adaptive
inferredcites →https://doi.org/10.1109/81.768837openalex-snapshot
On time-delayed feedback control of chaotic systems
inferredcites →https://doi.org/10.1109/mcs.1986.1105145openalex-snapshot
The adaptive suspension vehicle
inferredcites →https://doi.org/10.1142/9789812798640openalex-snapshot
From Chaos to Order - Methodologies, Perspectives and Applications
inferredcites →https://doi.org/10.1142/s0218127400000815openalex-snapshot
ADAPTIVE BACKSTEPPING CONTROL OF A CLASS OF CHAOTIC SYSTEMS
inferredcites →https://doi.org/10.1142/s0218127402005248openalex-snapshot
SLIDING MODE CONTROL OF CHAOS IN THE CUBIC CHUA'S CIRCUIT SYSTEM
inferredcites →https://doi.org/10.1142/s021812740300642xopenalex-snapshot
TIME-DELAYED FEEDBACK CONTROL OF TIME-DELAY CHAOTIC SYSTEMS
inferredcites →https://doi.org/10.1238/physica.topical.090a00054openalex-snapshot
Chaos in Quantum Ratchets

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Deterministic Inhomogeneous Ratchet in a Periodic Potential
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Impulsive synchronization and control of directed transport in chaotic ratchets
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