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Note 13 - Equity (Details Textual) - USD ($)
3 Months Ended 6 Months Ended
Jun. 16, 2025
Apr. 30, 2025
Apr. 28, 2025
Mar. 28, 2025
Feb. 13, 2025
Feb. 12, 2025
Jun. 30, 2025
Jun. 30, 2024
Jun. 30, 2025
Jun. 30, 2024
Dec. 31, 2024
Dec. 20, 2024
Class of Warrant or Right, Exercise Price of Warrants or Rights (in dollars per share)             $ 11.16   $ 11.16   $ 11.54  
Proceeds from Warrant Exercises                 $ 8,828,000 $ 0    
Deemed Dividend Liability, Current           $ 4,410,000 $ 0   0   $ 0  
Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Grants in Period, Grant Date Fair Value                   0    
Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding, Intrinsic Value             0   0      
Share-Based Payment Arrangement, Option [Member]                        
Share-Based Payment Arrangement, Expense             (43,000) $ 58,000 43,000 148,000    
Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Grants in Period, Grant Date Fair Value                 34,000      
Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding, Intrinsic Value                     $ 0  
Share-Based Payment Arrangement, Nonvested Award, Option, Cost Not yet Recognized, Amount             119,000   $ 119,000      
Share-Based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Period for Recognition (Year)                 1 year 9 months      
Restricted Stock Units (RSUs) [Member]                        
Share-Based Payment Arrangement, Expense             70,000 0 $ 71,000 0    
Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Grants in Period, Grant Date Fair Value                 1,051,000 0    
Share-Based Payment Arrangement, Nonvested Award, Option, Cost Not yet Recognized, Amount             980,000   $ 980,000      
Share-Based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Period for Recognition (Year)                 2 years 10 months 13 days      
Deferred Stock Units (DSUS) [Member]                        
Share-Based Payment Arrangement, Expense             50,000 $ 0 $ 167,000 0    
Share-Based Payment Arrangement, Nonvested Award, Option, Cost Not yet Recognized, Amount             $ 41,000   $ 41,000      
Share-Based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Period for Recognition (Year)                 3 months      
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grant Date Fair Value                 $ 209,000 $ 0    
Evoke Neuroscience, Inc. [Member]                        
Stock Issued During Period, Shares, Acquisitions (in shares)   857,142                    
Shares Issued, Price Per Share (in dollars per share)   $ 3.2                    
The 2025 PIPE Warrants [Member]                        
Class of Warrant or Right, Number of Securities Called by Warrants or Rights (in shares)       547,737                
Class of Warrant or Right, Issued, Exercise Price (in dollars per share)                 $ 4      
Class of Warrant or Right, Issued During Period (in shares)                 547,737      
March 2025 Warrants [Member]                        
Class of Warrant or Right, Number of Securities Called by Each Warrant or Right (in shares)       1                
Class of Warrant or Right, Exercise Price of Warrants or Rights (in dollars per share)       $ 4                
Warrants and Rights Outstanding, Term (Year)       3 years                
March 2025 Broker Warrants [Member]                        
Class of Warrant or Right, Number of Securities Called by Warrants or Rights (in shares)       25,958                
Class of Warrant or Right, Issued, Exercise Price (in dollars per share)                 $ 3.8      
Class of Warrant or Right, Issued During Period (in shares)                 25,958      
Three Fifty Warrant [Member]                        
Class of Warrant or Right, Issued, Exercise Price (in dollars per share)                 $ 3.5      
Class of Warrant or Right, Issued During Period (in shares)                 400,000      
Four Warrant [Member]                        
Class of Warrant or Right, Issued, Exercise Price (in dollars per share)                 $ 4      
Class of Warrant or Right, Issued During Period (in shares)                 400,000      
PIPE Warrants [Member]                        
Class of Warrant or Right, Number of Securities Called by Warrants or Rights (in shares)             823,529   823,529      
Class of Warrant or Right, Exercise Price of Warrants or Rights (in dollars per share)             $ 6.83   $ 6.83      
Proceeds from Warrant Exercises           $ 5,625,000            
Convertible Promissory Note Warrants [Member]                        
Class of Warrant or Right, Number of Securities Called by Warrants or Rights (in shares)                       800,000
Class of Warrant or Right, Exercise Price of Warrants or Rights (in dollars per share)                       $ 4
Proceeds from Warrant Exercises         $ 3,200,000              
Private Placement [Member]                        
Stock Issued During Period, Shares, New Issues (in shares)       547,737                
Equity Offering, Unit Price (in dollars per share)       $ 3                
Proceeds from Issuance or Sale of Equity       $ 1,643,000                
Equity Offering, Issuance Costs       $ 179,000                
Inducement Agreement [Member]                        
Stock Issued During Period, Shares, New Issues (in shares)     340,000                  
Securities Purchase Agreement [Member]                        
Stock Issued During Period, Shares, New Issues (in shares) 340,000                      
Equity Offering, Unit Price (in dollars per share) $ 3                      
Proceeds from Issuance or Sale of Equity $ 1,200                      
Equity Issuance, Units, Number of Units (in shares) 400,000                      
Units Issued, Common Stock Per Unit (in dollars per share) $ 1                      
Units Issued During Period, New Issues (in shares) 400,000                      
Securities Purchase Agreement [Member] | Pre-funded Warrants [Member]                        
Class of Warrant or Right, Number of Securities Called by Each Warrant or Right (in shares) 1                      
Class of Warrant or Right, Issued, Exercise Price (in dollars per share) $ 0.0001                      
Units Issued, Warrants Per Unit (in dollars per share) $ 1                      
Class of Warrant or Right, Issued During Period (in shares) 60,000                      
Securities Purchase Agreement [Member] | Three Fifty Warrant [Member]                        
Class of Warrant or Right, Number of Securities Called by Each Warrant or Right (in shares) 1                      
Warrants and Rights Outstanding, Term (Year) 5 years                      
Class of Warrant or Right, Issued, Exercise Price (in dollars per share) $ 3.5                      
Units Issued, Warrants Per Unit (in dollars per share) $ 1                      
Class of Warrant or Right, Issued During Period (in shares) 400,000                      
Securities Purchase Agreement [Member] | Four Warrant [Member]                        
Class of Warrant or Right, Number of Securities Called by Each Warrant or Right (in shares) 1                      
Warrants and Rights Outstanding, Term (Year) 5 years                      
Class of Warrant or Right, Issued, Exercise Price (in dollars per share) $ 4                      
Units Issued, Warrants Per Unit (in dollars per share) $ 1                      
Class of Warrant or Right, Issued During Period (in shares) 400,000                      
Conversion of Promissory Note to Common Stock [Member]                        
Debt Conversion, Converted Instrument, Shares Issued (in shares)         800,000              
Debt Instrument, Convertible, Conversion Price (in dollars per share)         $ 3              
Exercise of Conversion Options, Transaction Costs, Additional Paid-in-capital         $ 39,000